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Search: id:A153723
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| A153723 |
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Greatest number m such that the fractional part of (pi-2)^A153719(m) >= 1-(1/m). |
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+0
8
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| 1, 1, 1, 3, 16, 24, 45, 158, 410, 946, 1182, 8786, 16159, 20188, 61392, 78800, 78959, 217556
(list; graph; listen)
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OFFSET
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1,4
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FORMULA
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a(n):=floor(1/(1-fract((pi-2)^A153719(n)))), where fract(x) = x-floor(x).
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EXAMPLE
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a(5)=16, since 1-(1/17)=0.941176...>fract((pi-2)^A153719(5))=fract((pi-2)^5)=0.9389...>=0.9375=1-(1/16).
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CROSSREFS
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Cf. A153663, A153671, A153679, A153687, A153695, A153703, A153711, A153719, A154130.
Sequence in context: A031071 A028687 A101132 this_sequence A091273 A132049 A101405
Adjacent sequences: A153720 A153721 A153722 this_sequence A153724 A153725 A153726
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KEYWORD
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nonn,more
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AUTHOR
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Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 06 2009
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